TY - JOUR TI - Content knowledge for teaching: What makes it special? AU - Ball, D. L. AU - Thames, M. H. AU - Phelps, G. T2 - Journal of Teacher Education AB - This article reports the authors' efforts to develop a practice-based theory of content knowledge for teaching built on Shulman's (1986) notion of pedagogical content knowledge. As the concept of pedagogical content knowledge caught on, it was in need of theoretical development, analytic clarification, and empirical testing. The purpose of the study was to investigate the nature of professionally oriented subject matter knowledge in mathematics by studying actual mathematics teaching and identifying mathematical knowledge for teaching based on analyses of the mathematical problems that arise in teaching. In conjunction, measures of mathematical knowledge for teaching were developed. These lines of research indicate at least two empirically discernable subdomains within pedagogical content knowledge ( knowledge of content and students and knowledge of content and teaching) and an important subdomain of “pure” content knowledge unique to the work of teaching, specialized content knowledge , which is distinct from the common content knowledge needed by teachers and nonteachers alike. The article concludes with a discussion of the next steps needed to develop a useful theory of content knowledge for teaching. DA - 2008/// PY - 2008 DO - 10.1177/0022487108324554 DP - DOI.org (Crossref) VL - 59 IS - 5 SP - 389 EP - 407 J2 - Journal of Teacher Education LA - en SN - 0022-4871, 1552-7816 ST - Content knowledge for teaching UR - https://journals.sagepub.com/doi/10.1177/0022487108324554 Y2 - 2025/08/24/15:03:57 ER - TY - CHAP TI - Das Kompetenzmodell von COACTIV [The COACTIV competence model] AU - Baumert, J., & Kunter, M. T2 - Professionelle Kompetenz von Lehrkräften: Ergebnisse des Forschungsprogramms COACTIV A2 - M. Kunter, J. Baumert, W. Blum, U. Klusmann, S. Krauss, & M. Neubrand DA - 2011/// PY - 2011 SP - 29 EP - 53 PB - Waxmann ER - TY - JOUR TI - The role and function of a hierarchical classification of quadrilaterals AU - de Villiers, M. T2 - For the Learning of Mathematics DA - 1994/// PY - 1994 VL - 14 IS - 1 SP - 11 EP - 18 ER - TY - BOOK TI - Forschungsmethoden und Evaluation in den Sozial- und Humanwissenschaften [Research methods and evaluation in the social sciences and humanities] AU - Döring, Nicola T2 - Springer-Lehrbuch CY - Berlin, Heidelberg DA - 2023/// PY - 2023 DP - DOI.org (Crossref) ET - 6th ed. LA - de PB - Springer Berlin Heidelberg SN - 978-3-642-41088-8 978-3-642-41089-5 UR - https://doi.org/10.1007/978-3-662-64762-2 Y2 - 2025/08/24/15:11:12 ER - TY - JOUR TI - What kind of content knowledge do secondary mathematics teachers need? AU - Dreher, Anika AU - Lindmeier, Anke AU - Heinze, Aiso AU - Niemand, Carolin T2 - Journal für Mathematik-Didaktik DA - 2018/10// PY - 2018 DO - 10.1007/s13138-018-0127-2 DP - DOI.org (Crossref) VL - 39 IS - 2 SP - 319 EP - 341 J2 - J Math Didakt LA - en SN - 0173-5322, 1869-2699 ST - What kind of content knowledge do secondary mathematics teachers need? UR - http://link.springer.com/10.1007/s13138-018-0127-2 Y2 - 2025/08/24/15:12:04 L1 - https://link.springer.com/content/pdf/10.1007%2Fs13138-018-0127-2.pdf ER - TY - JOUR TI - Learners’ understanding of the hierarchical classification of quadrilaterals AU - Fujita, T. T2 - Proceedings of the British Society for Research into Learning Mathematics DA - 2008/// PY - 2008 VL - 28 IS - 2 SP - 31 EP - 36 ER - TY - JOUR TI - „ … aber ein Quadrat ist kein Rechteck“ - Schülerschwierigkeiten beim Verwenden einfacher geometrischer Begriffe in Jahrgang 8 [„… but a square is not a rectangle“ – students‘ difficulties in using simple geometric terms in Grade 8] AU - Heinze, Aiso T2 - Zentralblatt für Didaktik der Mathematik DA - 2002/04// PY - 2002 DO - 10.1007/BF02655704 DP - DOI.org (Crossref) VL - 34 IS - 2 SP - 51 EP - 55 J2 - Zentralblatt für Didaktik der Mathematik LA - de SN - 1615-679X UR - http://link.springer.com/10.1007/BF02655704 Y2 - 2025/08/24/15:17:22 ER - TY - JOUR TI - Akademisches versus schulbezogenes Fachwissen – ein differenzierteres Modell des fachspezifischen Professionswissens von angehenden Mathematiklehrkräften der Sekundarstufe [Academic versus school-related subject knowledge – a more differentiated model of subject-specific professional knowledge among prospective secondary school mathematics teachers] AU - Heinze, Aiso AU - Dreher, Anika AU - Lindmeier, Anke AU - Niemand, Carolin T2 - Zeitschrift für Erziehungswissenschaft DA - 2016/06// PY - 2016 DO - 10.1007/s11618-016-0674-6 DP - DOI.org (Crossref) VL - 19 IS - 2 SP - 329 EP - 349 J2 - Z Erziehungswiss LA - de SN - 1434-663X, 1862-5215 UR - http://link.springer.com/10.1007/s11618-016-0674-6 Y2 - 2025/08/24/15:19:23 ER - TY - CHAP TI - Qualitative text analysis: a systematic approach AU - Kuckartz, Udo T2 - Compendium for early career researchers in mathematics education A2 - Kaiser, Gabriele A2 - Presmeg, Norma CY - Cham DA - 2019/// PY - 2019 DP - DOI.org (Crossref) SP - 181 EP - 197 LA - en PB - Springer International Publishing SN - 978-3-030-15635-0 978-3-030-15636-7 ST - Qualitative text analysis UR - http://link.springer.com/10.1007/978-3-030-15636-7_8 Y2 - 2025/08/24/15:20:39 L1 - https://link.springer.com/content/pdf/10.1007%2F978-3-030-15636-7_8.pdf ER - TY - BOOK TI - Qualitative content analysis: Theoretical foundation, basic procedures and software solution AU - Mayring, P. DA - 2014/// PY - 2014 PB - Klagenfurt ER - TY - JOUR TI - Those who understand: knowledge growth in teaching AU - Shulman, Lee S. T2 - Educational Researcher DA - 1986/02// PY - 1986 DO - 10.3102/0013189X015002004 DP - DOI.org (Crossref) VL - 15 IS - 2 SP - 4 EP - 14 J2 - Educational Researcher LA - en SN - 0013-189X, 1935-102X ST - Those who understand UR - https://journals.sagepub.com/doi/10.3102/0013189X015002004 Y2 - 2025/08/24/15:23:34 L1 - https://revistaseug.ugr.es/index.php/profesorado/article/download/11230/9309 ER - TY - CHAP TI - Begriffslernen und Begriffslehren [Concept learning and concept teaching] AU - Weigand, Hans-Georg T2 - Didaktik der Geometrie für die Sekundarstufe I A2 - Weigand, Hans-Georg A2 - Filler, Andreas A2 - Hölzl, Reinhard A2 - Kuntze, Sebastian A2 - Ludwig, Matthias A2 - Roth, Jürgen A2 - Schmidt-Thieme, Barbara A2 - Wittmann, Gerald CY - Berlin, Heidelberg DA - 2014/// PY - 2014 DP - DOI.org (Crossref) SP - 99 EP - 122 LA - de PB - Springer Berlin Heidelberg SN - 978-3-642-37967-3 978-3-642-37968-0 UR - http://link.springer.com/10.1007/978-3-642-37968-0_6 Y2 - 2025/08/24/15:23:53 ER - TY - CHAP TI - Begriffsbildung [Concept formation] AU - Weigand, Hans-Georg T2 - Handbuch der Mathematikdidaktik A2 - Bruder, Regina A2 - Hefendehl-Hebeker, Lisa A2 - Schmidt-Thieme, Barbara A2 - Weigand, Hans-Georg CY - Berlin, Heidelberg DA - 2015/// PY - 2015 DP - DOI.org (Crossref) SP - 255 EP - 278 LA - de PB - Springer Berlin Heidelberg SN - 978-3-642-35118-1 978-3-642-35119-8 UR - http://link.springer.com/10.1007/978-3-642-35119-8_9 Y2 - 2025/08/24/15:25:00 ER - TY - CHAP TI - A study on the influences of visual imagery in the teaching of geometry AU - Kawasaki, M. 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T2 - Educational Studies in Mathematics DA - 1994/10// PY - 1994 DO - 10.1007/BF01273731 DP - DOI.org (Crossref) VL - 27 IS - 3 SP - 249 EP - 266 J2 - Educ Stud Math LA - en SN - 0013-1954, 1573-0816 UR - http://link.springer.com/10.1007/BF01273731 Y2 - 2025/08/25/18:28:29 ER - TY - CHAP TI - The role of definitions in the teaching and learning of mathematics AU - Vinner, Shlomo T2 - Advanced mathematical thinking A2 - Tall, David CY - Dordrecht DA - 1991/// PY - 1991 DP - DOI.org (Crossref) SP - 65 EP - 81 LA - en PB - Springer Netherlands SN - 978-0-7923-1456-1 978-0-306-47203-9 UR - http://link.springer.com/10.1007/0-306-47203-1_5 Y2 - 2025/08/25/18:29:33 ER - TY - JOUR TI - Rectangle and rhombi: how well do pre-service teachers know them? AU - Pickreign, J. T2 - Issues in the Undergraduate Mathematics Preparation of School Teachers DA - 2007/// PY - 2007 VL - 1 ER - TY - JOUR TI - Learners’ understanding of the definition and hierarchical classification of quadrilaterals: Toward a theoretical framing AU - Fujita, Taro AU - Jones, Keith T2 - Research in Mathematics Education DA - 2007/04// PY - 2007 DO - 10.1080/14794800008520167 DP - DOI.org (Crossref) VL - 9 IS - 1 SP - 3 EP - 20 J2 - Research in Mathematics Education LA - en SN - 1479-4802, 1754-0178 ST - LEARNERS’ UNDERSTANDING OF THE DEFINITIONS AND HIERARCHICAL CLASSIFICATION OF QUADRILATERALS UR - http://www.tandfonline.com/doi/abs/10.1080/14794800008520167 Y2 - 2025/08/28/10:19:24 L1 - https://eprints.soton.ac.uk/49731/1/Fujita_Jones_RME_vol9_2007.pdf ER - TY - BOOK TI - Lernumgebungen erfolgreich gestalten [Designing successful learning environments] AU - Wahl, D. DA - 2013/// PY - 2013 ET - 3 PB - Klinkhardt ER - TY - CHAP TI - Is there a number in-between, and if so, how many? Analysis of prospective primary teachers’ knowledge of rational numbers. AU - Reitz-Koncebovski, K., Kuzle, A., & Kortenkamp, U. T2 - Twelfth Congress of the European Society for Research in Mathematics Education (CERME 12) A2 - J. Hodgen, E. Geraniou, G. Bolondi & F. Ferretti DA - 2022/// PY - 2022 SP - 3251 EP - 3258 PB - Free University of Bozen-Bolzano and ERME ER -